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Elodia [21]
3 years ago
10

Solve x^2 + 4x + 8 = 0

Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

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What will be the value in 5 years?
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The equation for interest also works for depreciation 

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the answer you are looking for is C.
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7 0
4 years ago
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Quiz
andreyandreev [35.5K]
I don’t see a pic for this
8 0
3 years ago
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is
xenn [34]

Answer:

Option A is correct

3.33 ft wide should the metal piece be.

Step-by-step explanation:

Area of rectangle(A) is given by:

A =lw              .....[1]

l is the length and w is the width of the rectangle respectively.

As per the statement:

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²

⇒A = 30 ft²

It is also given that the length is 1 less than 3 times the width

⇒l = 3w -1 ft

Substitute the given values in [1] we have;

30 = (3w-1) \cdot w

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

then;

30 = 3w^2-w

We can write this as:

3w^2-w-30 = 0

Factorize this equation:

Split the middle term we have;

3w^2-10w+9w-30 = 0

⇒w(3w-10)+3(3w-10=0)

⇒(3w-10)(w+3)=0

By zero product property we have;

3w-10 = 0 and w+3 = 0

Since, w cannot be negative;

so,

w = \frac{10}{3} = 3.3333.. ft

Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.

7 0
3 years ago
Read 2 more answers
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